What is the Greatest Common Factor of 96549 and 96564?

Greatest common factor (GCF) of 96549 and 96564 is 3.

GCF(96549,96564) = 3

We will now calculate the prime factors of 96549 and 96564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96549 and 96564.

How to find the GCF of 96549 and 96564?

We will first find the prime factorization of 96549 and 96564. After we will calculate the factors of 96549 and 96564 and find the biggest common factor number .

Step-1: Prime Factorization of 96549

Prime factors of 96549 are 3, 32183. Prime factorization of 96549 in exponential form is:

96549 = 3¹ × 32183¹

Step-2: Prime Factorization of 96564

Prime factors of 96564 are 2, 3, 13, 619. Prime factorization of 96564 in exponential form is:

96564 = 2² × 3¹ × 13¹ × 619¹

Step-3: Factors of 96549

List of positive integer factors of 96549 that divides 96549 without a remainder.

1, 3, 32183

Step-4: Factors of 96564

List of positive integer factors of 96564 that divides 96549 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 619, 1238, 1857, 2476, 3714, 7428, 8047, 16094, 24141, 32188, 48282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96549 and 96564. The biggest common factor number is the GCF number.
So the greatest common factor 96549 and 96564 is 3.

Also check out the Least Common Multiple of 96549 and 96564